| 关于正定矩阵平方根分解性质的讨论及正定矩阵某个特征的证明 |
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| 引用本文： | 苏尔. 关于正定矩阵平方根分解性质的讨论及正定矩阵某个特征的证明[J]. 吉林师范大学学报(自然科学版), 2012, 0(1): 54-58 |
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| 作者姓名： | 苏尔 |
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| 作者单位： | 浙江传媒学院新媒体学院 |
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| 基金项目： | 浙江传媒学院课题(ZC11XJ040) |
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| 摘 要： | 基于高斯消去法和A的LU分解之间的密切关系,讨论用高斯消去法的约化过程对正定矩阵A实现唯一的cholesky分解,具体给出一个构造性的直接计算分解的证明过程,以及将分解运用到求证正定矩阵某个特征的证明方法.
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| 关 键 词： | 正定矩阵 约化 cholesky分解 唯一 |
Positive Definite Matrix Square-roots Decompounds Nature and a Proof of Its Certain Feature |
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| SU Er. Positive Definite Matrix Square-roots Decompounds Nature and a Proof of Its Certain Feature[J]. Jilin Normal University Journal(Natural Science Edition), 2012, 0(1): 54-58 |
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| Authors: | SU Er |
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| Affiliation: | SU Er(New Media College,Zhejiang Institute of Media and Communications,Hangzhou 310018,China) |
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| Abstract: | Based on a close relationship between Gaussian elimination method and the LU decomposition,discussions about the process of Gaussian elimination method for symmetric positive definite matrix to achieve the cholesky decomposition of a unique,direct calculation of concrete to give a constructive proof of the decomposition process,and further proof of symmetric positive definite matrix with a characteristics of conclusions. |
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| Keywords: | symmetric positive definite matrix reduce cholesky decompounds uniqueness |
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